Editing Riemann zeta function (section)

===Reciprocal===
The reciprocal of the zeta function may be expressed as a [[Dirichlet series]] over the [[Möbius function]] {{math|''μ''(''n'')}}:
:<math>\frac{1}{\zeta(s)} = \sum_{n=1}^\infty \frac{\mu(n)}{n^s}</math>
for every complex number {{mvar|s}} with real part greater than 1. There are a number of similar relations involving various well-known [[multiplicative function]]s; these are given in the article on the [[Dirichlet series]].

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The Riemann hypothesis is equivalent to the claim that this expression is valid when the real part of {{mvar|s}} is greater than {{sfrac|1|2}}.